772133 has 8 divisors (see below), whose sum is σ = 820800. Its totient is φ = 724768.

The previous prime is 772127. The next prime is 772139. The reversal of 772133 is 331277.

It is an interprime number because it is at equal distance from previous prime (772127) and next prime (772139).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772133 - 2⁸ = 771877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772099 and 772108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073 + ... + 1641.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

2⁷⁷²¹³³ is an apocalyptic number.

It is an amenable number.

772133 is a deficient number, since it is larger than the sum of its proper divisors (48667).

772133 is a wasteful number, since it uses less digits than its factorization.

772133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its digits is 882, while the sum is 23.

The square root of 772133 is about 878.7109877542. The cubic root of 772133 is about 91.7411200438.

The spelling of 772133 in words is "seven hundred seventy-two thousand, one hundred thirty-three".